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3 years ago

The Liu family buys 20 pounds of chicken at the local market for $50. Which equation can be used to represent the cost,

Mathematics

1 answer:

jolli1 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

$50/(20 pounds) = $2.5/pound

C(x) = (x pounds)·$2.5/pound = $2.5x

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The probability that a single radar station will detect an enemy plane is 0.65. (a) How many such stations are required to be 98

Inga [223]

Answer:

4 stations

Step-by-step explanation:

If we need to be at least 98% certain that an enemy plane flying over will be detected by at least one station, we must ensure that there is at most a 2% chance that no radar stations detect the plane.

The probability that a single radar station does not detect the plane is 0.35.

For n radar stations:

$P=0.02=0.35^n\\n=\frac{log(0.02)}{log(0.35)}\\n=3.73$

Rounding up to the next whole station, at least 4 stations are needed.

4 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago

Increase 14187.13 by 14.5

katrin2010 [14]

Answer:

14201.63

Step-by-step explanation:

14187.63

+ 14.50

=14201.63

7 0

3 years ago

I need help with math!!! time is running out!!! will mark brainliest!!!

faust18 [17]

1.

Answer C.

2.

Answers B. and C.

3.

Answer B.

4.

Answer A.

5.

Answer A.

4 0

3 years ago

A solution of the inequality 2x + y < -3 in order pair

vlabodo [156]

its your ans have a nice day

3 0

3 years ago